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Page 5 of 6

Write in slope-intercept form the equation of

SLOPE-INTERCEPT FORM

Student Help

the line that passes through the given points.

H

H

OMEWORK

ELP

( 5, 7) and (2,

7)

(2, 0) and ( 2, 6)

(1,

5) and (3, 4)

24.

25.

26.

Extra help with

problem solving in

27.

( 1,

2) and (2, 6)

28.

(1, 4) and ( 1,

4)

29.

(2,

3) and ( 3, 7)

Exs. 24–32 is available at

30.

(2, 2) and ( 7,

7)

31.

(6,

4) and (2, 8)

32.

(1, 1) and (7, 4)

Decide which form of a linear equation to use.

DECIDING WHICH FORM

Then write the equation of the line in slope-intercept form.

33.

34.

35.

y

y

y

(4, 3)

3

1

(4, 2)

(5, 0)

2

1

3

x

1

1

2

6

x

1

3

x

( 2,

4)

(0,

3)

( 1,

1)

6

The graph below models an airplane’s descent

36.

AIRPLANE DESCENT

from 12,500 to 2500 feet. Write in slope-intercept form the equation of

the line shown.

Airplane Descent

y

(0, 12.5)

10

5

(150, 2.5)

0

x

0

20

40

60

80

100

120

140

160

Approach distance (thousands of feet)

In Exercises 37–39, use the diagram of the Chunnel below.

CHALLENGE

Write the equation of the line from point A to point B. What is the slope?

37.

Chunnel

38.

Write the equation of the line from point C to point D. What is the slope?

Folkestone

ENGLAND

terminal

39.

Is the Chunnel steeper on the English side or on the French side?

England

France

The Chunnel

Chunnel

100

A (0, 60)

D (50, 50)

Coquelles

English

50

terminal

Channel

N

0

FRANCE

50

is a railroad

THE CHUNNEL

B (15,

70)

100

tunnel under the English

C (38,

90)

Channel, connecting England

Not drawn to scale

150

and France. It is one of the

most ambitious engineering

0

5

10

15

20

25

30

35

40

45

50

feats of the twentieth century.

Distance from Folkestone terminal (thousands of meters)

5.3 Writing Linear Equations Given Two Points

289

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Parent category: Education